Semiclassical electron capture probabilities for proton–hydrogenic ion collisions in dense plasmas

Abstract

Electron capture processes by protons from hydrogenic ions in dense plasmas are investigated in accordance with a semiclassical version of the Bohr and Lindhard model using the straight-line trajectory method. The screened electron capture radius and screened bound state wave function are obtained by using the Debye–Hückel interaction potential. The scaled semiclassical electron capture probability is obtained as a function of the impact parameter, Debye length, and projectile velocity. The plasma screening effects on the target system is found to be quite small so that the plasma screening effects on the capture probability is mainly determined by the screened capture radius. The plasma screening effects on the scaled semiclassical capture probability for the intermediate energy projectile is more significant than those for the high-energy projectile. The maximum position of the capture probability approaches the target nucleus as the projectile energy increases.